Cold floors is a feature in hot climates. We have area rugs where appropriate and wear comfy slippers in the winter.

Wall to wall carpet is gross, even in a shoe-free household. I owned a very nice carpet cleaner when we had carpet and learned quickly that it is impossible to fully clean. With tile if you can wipe with a white cloth and not pull up much dirt, you can be assured that it is actually clean. All kinds of nasty stuff can hide in carpet even with excellent care.